%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM582+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:57:54 PM UTC 2026
% Result : Theorem 0.37s 1.62s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 157)
% Comments :
%------------------------------------------------------------------------------
fof(mCardCons,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
fof(mDiffCons,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDiffCons) ).
fof(mSelNSet,axiom,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).
fof(mNoScLessZr,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(mCountNFin,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(m__3398,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSubsetOf0(X2,szNzAzT0)
& isCountable0(X2) )
=> ! [X3] :
( ( aFunction0(X3)
& szDzozmdt0(X3) = slbdtsldtrb0(X2,X1)
& aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT) )
=> ( iLess0(X1,xK)
=> ? [X4] :
( aElementOf0(X4,xT)
& ? [X5] :
( aSubsetOf0(X5,X2)
& isCountable0(X5)
& ! [X6] :
( aElementOf0(X6,slbdtsldtrb0(X5,X1))
=> sdtlpdtrp0(X3,X6) = X4 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3398) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(mDefPtt,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtlbdtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,szDzozmdt0(X1))
& sdtlpdtrp0(X1,X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPtt) ).
fof(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(mDefSImg,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtlcdtrc0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5] :
( aElementOf0(X5,X2)
& sdtlpdtrp0(X1,X5) = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(mDefRst,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtexdt0(X1,X2)
<=> ( aFunction0(X3)
& szDzozmdt0(X3) = X2
& ! [X4] :
( aElementOf0(X4,X2)
=> sdtlpdtrp0(X3,X4) = sdtlpdtrp0(X1,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefRst) ).
fof(mSelExtra,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( ( aSubsetOf0(X3,slbdtsldtrb0(X1,X2))
& isFinite0(X3) )
=> ? [X4] :
( aSubsetOf0(X4,X1)
& isFinite0(X4)
& aSubsetOf0(X3,slbdtsldtrb0(X4,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelExtra) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(mSelSub,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2,X3] :
( ( aSet0(X2)
& aSet0(X3)
& X1 != sz00 )
=> ( ( aSubsetOf0(slbdtsldtrb0(X2,X1),slbdtsldtrb0(X3,X1))
& slbdtsldtrb0(X2,X1) != slcrc0 )
=> aSubsetOf0(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelSub) ).
fof(mImgCount,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( ( aSubsetOf0(X2,szDzozmdt0(X1))
& isCountable0(X2) )
=> ( ! [X3,X4] :
( ( aElementOf0(X3,szDzozmdt0(X1))
& aElementOf0(X4,szDzozmdt0(X1))
& X3 != X4 )
=> sdtlpdtrp0(X1,X3) != sdtlpdtrp0(X1,X4) )
=> isCountable0(sdtlcdtrc0(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgCount) ).
fof(mDirichlet,axiom,
! [X1] :
( aFunction0(X1)
=> ( ( isCountable0(szDzozmdt0(X1))
& isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) )
=> ( aElement0(szDzizrdt0(X1))
& isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDirichlet) ).
fof(m__3821,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& X1 != X2 )
=> szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3821) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(mLessTrans,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
fof(mDefMax,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzazxdt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMax) ).
fof(mImgRng,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgRng) ).
fof(mMinMin,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X2,szNzAzT0)
& X1 != slcrc0
& X2 != slcrc0 )
=> ( ( aElementOf0(szmzizndt0(X1),X2)
& aElementOf0(szmzizndt0(X2),X1) )
=> szmzizndt0(X1) = szmzizndt0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMinMin) ).
fof(mSegSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
<=> ( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegSucc) ).
fof(mDefMin,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(mCardSubEx,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ( ( isFinite0(X1)
& sdtlseqdt0(X2,sbrdtbr0(X1)) )
=> ? [X3] :
( aSubsetOf0(X3,X1)
& sbrdtbr0(X3) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSubEx) ).
fof(mCardDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
fof(mSegLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegLess) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(mImgElm,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElement0(sdtlpdtrp0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgElm) ).
fof(mSelCSet,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ! [X2] :
( ( aElementOf0(X2,szNzAzT0)
& X2 != sz00 )
=> isCountable0(slbdtsldtrb0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelCSet) ).
fof(mSelFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelFSet) ).
fof(mCardSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aSubsetOf0(X2,X1) )
=> sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSub) ).
fof(mSubASymm,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubASymm) ).
fof(mPttSet,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPttSet) ).
fof(mFinSubSeg,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aSubsetOf0(X1,slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(mSuccEquSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(mCDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCDiffSet) ).
fof(mCConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCConsSet) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(mFConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFConsSet) ).
fof(m__,conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mSubFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(mLessRefl,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegFin) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(m__3989_02,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989_02) ).
fof(m__4007,hypothesis,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4007) ).
fof(m__3453,hypothesis,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(m__3435,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(m__3989,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(m__3418,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(m__3291,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(m__3520,hypothesis,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3520) ).
fof(m__3462,hypothesis,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(i_0_81,plain,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[mCardCons]) ).
fof(i_0_82,plain,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
inference(fof_simplification,[status(thm)],[mDiffCons]) ).
fof(i_0_83,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
inference(fof_simplification,[status(thm)],[mSelNSet]) ).
fof(i_0_84,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(i_0_85,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(i_0_86,hypothesis,
! [X319,X320,X321,X324] :
( ( aElementOf0(esk20_3(X319,X320,X321),xT)
| ~ iLess0(X319,xK)
| ~ aFunction0(X321)
| szDzozmdt0(X321) != slbdtsldtrb0(X320,X319)
| ~ aSubsetOf0(sdtlcdtrc0(X321,szDzozmdt0(X321)),xT)
| ~ aSubsetOf0(X320,szNzAzT0)
| ~ isCountable0(X320)
| ~ aElementOf0(X319,szNzAzT0) )
& ( aSubsetOf0(esk21_3(X319,X320,X321),X320)
| ~ iLess0(X319,xK)
| ~ aFunction0(X321)
| szDzozmdt0(X321) != slbdtsldtrb0(X320,X319)
| ~ aSubsetOf0(sdtlcdtrc0(X321,szDzozmdt0(X321)),xT)
| ~ aSubsetOf0(X320,szNzAzT0)
| ~ isCountable0(X320)
| ~ aElementOf0(X319,szNzAzT0) )
& ( isCountable0(esk21_3(X319,X320,X321))
| ~ iLess0(X319,xK)
| ~ aFunction0(X321)
| szDzozmdt0(X321) != slbdtsldtrb0(X320,X319)
| ~ aSubsetOf0(sdtlcdtrc0(X321,szDzozmdt0(X321)),xT)
| ~ aSubsetOf0(X320,szNzAzT0)
| ~ isCountable0(X320)
| ~ aElementOf0(X319,szNzAzT0) )
& ( ~ aElementOf0(X324,slbdtsldtrb0(esk21_3(X319,X320,X321),X319))
| sdtlpdtrp0(X321,X324) = esk20_3(X319,X320,X321)
| ~ iLess0(X319,xK)
| ~ aFunction0(X321)
| szDzozmdt0(X321) != slbdtsldtrb0(X320,X319)
| ~ aSubsetOf0(sdtlcdtrc0(X321,szDzozmdt0(X321)),xT)
| ~ aSubsetOf0(X320,szNzAzT0)
| ~ isCountable0(X320)
| ~ aElementOf0(X319,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3398])])])])]) ).
fof(i_0_87,plain,
! [X186,X187,X188,X189,X190,X191] :
( ( aSet0(X188)
| X188 != sdtmndt0(X186,X187)
| ~ aSet0(X186)
| ~ aElement0(X187) )
& ( aElement0(X189)
| ~ aElementOf0(X189,X188)
| X188 != sdtmndt0(X186,X187)
| ~ aSet0(X186)
| ~ aElement0(X187) )
& ( aElementOf0(X189,X186)
| ~ aElementOf0(X189,X188)
| X188 != sdtmndt0(X186,X187)
| ~ aSet0(X186)
| ~ aElement0(X187) )
& ( X189 != X187
| ~ aElementOf0(X189,X188)
| X188 != sdtmndt0(X186,X187)
| ~ aSet0(X186)
| ~ aElement0(X187) )
& ( ~ aElement0(X190)
| ~ aElementOf0(X190,X186)
| X190 = X187
| aElementOf0(X190,X188)
| X188 != sdtmndt0(X186,X187)
| ~ aSet0(X186)
| ~ aElement0(X187) )
& ( ~ aElementOf0(esk4_3(X186,X187,X191),X191)
| ~ aElement0(esk4_3(X186,X187,X191))
| ~ aElementOf0(esk4_3(X186,X187,X191),X186)
| esk4_3(X186,X187,X191) = X187
| ~ aSet0(X191)
| X191 = sdtmndt0(X186,X187)
| ~ aSet0(X186)
| ~ aElement0(X187) )
& ( aElement0(esk4_3(X186,X187,X191))
| aElementOf0(esk4_3(X186,X187,X191),X191)
| ~ aSet0(X191)
| X191 = sdtmndt0(X186,X187)
| ~ aSet0(X186)
| ~ aElement0(X187) )
& ( aElementOf0(esk4_3(X186,X187,X191),X186)
| aElementOf0(esk4_3(X186,X187,X191),X191)
| ~ aSet0(X191)
| X191 = sdtmndt0(X186,X187)
| ~ aSet0(X186)
| ~ aElement0(X187) )
& ( esk4_3(X186,X187,X191) != X187
| aElementOf0(esk4_3(X186,X187,X191),X191)
| ~ aSet0(X191)
| X191 = sdtmndt0(X186,X187)
| ~ aSet0(X186)
| ~ aElement0(X187) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])])])]) ).
fof(i_0_88,plain,
! [X286,X287,X288,X289,X290,X291] :
( ( aSet0(X288)
| X288 != sdtlbdtrb0(X286,X287)
| ~ aFunction0(X286)
| ~ aElement0(X287) )
& ( aElementOf0(X289,szDzozmdt0(X286))
| ~ aElementOf0(X289,X288)
| X288 != sdtlbdtrb0(X286,X287)
| ~ aFunction0(X286)
| ~ aElement0(X287) )
& ( sdtlpdtrp0(X286,X289) = X287
| ~ aElementOf0(X289,X288)
| X288 != sdtlbdtrb0(X286,X287)
| ~ aFunction0(X286)
| ~ aElement0(X287) )
& ( ~ aElementOf0(X290,szDzozmdt0(X286))
| sdtlpdtrp0(X286,X290) != X287
| aElementOf0(X290,X288)
| X288 != sdtlbdtrb0(X286,X287)
| ~ aFunction0(X286)
| ~ aElement0(X287) )
& ( ~ aElementOf0(esk13_3(X286,X287,X291),X291)
| ~ aElementOf0(esk13_3(X286,X287,X291),szDzozmdt0(X286))
| sdtlpdtrp0(X286,esk13_3(X286,X287,X291)) != X287
| ~ aSet0(X291)
| X291 = sdtlbdtrb0(X286,X287)
| ~ aFunction0(X286)
| ~ aElement0(X287) )
& ( aElementOf0(esk13_3(X286,X287,X291),szDzozmdt0(X286))
| aElementOf0(esk13_3(X286,X287,X291),X291)
| ~ aSet0(X291)
| X291 = sdtlbdtrb0(X286,X287)
| ~ aFunction0(X286)
| ~ aElement0(X287) )
& ( sdtlpdtrp0(X286,esk13_3(X286,X287,X291)) = X287
| aElementOf0(esk13_3(X286,X287,X291),X291)
| ~ aSet0(X291)
| X291 = sdtlbdtrb0(X286,X287)
| ~ aFunction0(X286)
| ~ aElement0(X287) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPtt])])])])])]) ).
fof(i_0_89,plain,
! [X263,X264,X265,X266,X267,X268] :
( ( aSet0(X265)
| X265 != slbdtsldtrb0(X263,X264)
| ~ aSet0(X263)
| ~ aElementOf0(X264,szNzAzT0) )
& ( aSubsetOf0(X266,X263)
| ~ aElementOf0(X266,X265)
| X265 != slbdtsldtrb0(X263,X264)
| ~ aSet0(X263)
| ~ aElementOf0(X264,szNzAzT0) )
& ( sbrdtbr0(X266) = X264
| ~ aElementOf0(X266,X265)
| X265 != slbdtsldtrb0(X263,X264)
| ~ aSet0(X263)
| ~ aElementOf0(X264,szNzAzT0) )
& ( ~ aSubsetOf0(X267,X263)
| sbrdtbr0(X267) != X264
| aElementOf0(X267,X265)
| X265 != slbdtsldtrb0(X263,X264)
| ~ aSet0(X263)
| ~ aElementOf0(X264,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X263,X264,X268),X268)
| ~ aSubsetOf0(esk11_3(X263,X264,X268),X263)
| sbrdtbr0(esk11_3(X263,X264,X268)) != X264
| ~ aSet0(X268)
| X268 = slbdtsldtrb0(X263,X264)
| ~ aSet0(X263)
| ~ aElementOf0(X264,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X263,X264,X268),X263)
| aElementOf0(esk11_3(X263,X264,X268),X268)
| ~ aSet0(X268)
| X268 = slbdtsldtrb0(X263,X264)
| ~ aSet0(X263)
| ~ aElementOf0(X264,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X263,X264,X268)) = X264
| aElementOf0(esk11_3(X263,X264,X268),X268)
| ~ aSet0(X268)
| X268 = slbdtsldtrb0(X263,X264)
| ~ aSet0(X263)
| ~ aElementOf0(X264,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSel])])])])])]) ).
fof(i_0_90,plain,
! [X295,X296,X297,X298,X300,X301,X302,X304] :
( ( aSet0(X297)
| X297 != sdtlcdtrc0(X295,X296)
| ~ aSubsetOf0(X296,szDzozmdt0(X295))
| ~ aFunction0(X295) )
& ( aElementOf0(esk14_4(X295,X296,X297,X298),X296)
| ~ aElementOf0(X298,X297)
| X297 != sdtlcdtrc0(X295,X296)
| ~ aSubsetOf0(X296,szDzozmdt0(X295))
| ~ aFunction0(X295) )
& ( sdtlpdtrp0(X295,esk14_4(X295,X296,X297,X298)) = X298
| ~ aElementOf0(X298,X297)
| X297 != sdtlcdtrc0(X295,X296)
| ~ aSubsetOf0(X296,szDzozmdt0(X295))
| ~ aFunction0(X295) )
& ( ~ aElementOf0(X301,X296)
| sdtlpdtrp0(X295,X301) != X300
| aElementOf0(X300,X297)
| X297 != sdtlcdtrc0(X295,X296)
| ~ aSubsetOf0(X296,szDzozmdt0(X295))
| ~ aFunction0(X295) )
& ( ~ aElementOf0(esk15_3(X295,X296,X302),X302)
| ~ aElementOf0(X304,X296)
| sdtlpdtrp0(X295,X304) != esk15_3(X295,X296,X302)
| ~ aSet0(X302)
| X302 = sdtlcdtrc0(X295,X296)
| ~ aSubsetOf0(X296,szDzozmdt0(X295))
| ~ aFunction0(X295) )
& ( aElementOf0(esk16_3(X295,X296,X302),X296)
| aElementOf0(esk15_3(X295,X296,X302),X302)
| ~ aSet0(X302)
| X302 = sdtlcdtrc0(X295,X296)
| ~ aSubsetOf0(X296,szDzozmdt0(X295))
| ~ aFunction0(X295) )
& ( sdtlpdtrp0(X295,esk16_3(X295,X296,X302)) = esk15_3(X295,X296,X302)
| aElementOf0(esk15_3(X295,X296,X302),X302)
| ~ aSet0(X302)
| X302 = sdtlcdtrc0(X295,X296)
| ~ aSubsetOf0(X296,szDzozmdt0(X295))
| ~ aFunction0(X295) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSImg])])])])])]) ).
fof(i_0_91,plain,
! [X179,X180,X181,X182,X183,X184] :
( ( aSet0(X181)
| X181 != sdtpldt0(X179,X180)
| ~ aSet0(X179)
| ~ aElement0(X180) )
& ( aElement0(X182)
| ~ aElementOf0(X182,X181)
| X181 != sdtpldt0(X179,X180)
| ~ aSet0(X179)
| ~ aElement0(X180) )
& ( aElementOf0(X182,X179)
| X182 = X180
| ~ aElementOf0(X182,X181)
| X181 != sdtpldt0(X179,X180)
| ~ aSet0(X179)
| ~ aElement0(X180) )
& ( ~ aElementOf0(X183,X179)
| ~ aElement0(X183)
| aElementOf0(X183,X181)
| X181 != sdtpldt0(X179,X180)
| ~ aSet0(X179)
| ~ aElement0(X180) )
& ( X183 != X180
| ~ aElement0(X183)
| aElementOf0(X183,X181)
| X181 != sdtpldt0(X179,X180)
| ~ aSet0(X179)
| ~ aElement0(X180) )
& ( ~ aElementOf0(esk3_3(X179,X180,X184),X179)
| ~ aElement0(esk3_3(X179,X180,X184))
| ~ aElementOf0(esk3_3(X179,X180,X184),X184)
| ~ aSet0(X184)
| X184 = sdtpldt0(X179,X180)
| ~ aSet0(X179)
| ~ aElement0(X180) )
& ( esk3_3(X179,X180,X184) != X180
| ~ aElement0(esk3_3(X179,X180,X184))
| ~ aElementOf0(esk3_3(X179,X180,X184),X184)
| ~ aSet0(X184)
| X184 = sdtpldt0(X179,X180)
| ~ aSet0(X179)
| ~ aElement0(X180) )
& ( aElement0(esk3_3(X179,X180,X184))
| aElementOf0(esk3_3(X179,X180,X184),X184)
| ~ aSet0(X184)
| X184 = sdtpldt0(X179,X180)
| ~ aSet0(X179)
| ~ aElement0(X180) )
& ( aElementOf0(esk3_3(X179,X180,X184),X179)
| esk3_3(X179,X180,X184) = X180
| aElementOf0(esk3_3(X179,X180,X184),X184)
| ~ aSet0(X184)
| X184 = sdtpldt0(X179,X180)
| ~ aSet0(X179)
| ~ aElement0(X180) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefCons])])])])])]) ).
fof(i_0_92,plain,
! [X308,X309,X310,X311,X312] :
( ( aFunction0(X310)
| X310 != sdtexdt0(X308,X309)
| ~ aSubsetOf0(X309,szDzozmdt0(X308))
| ~ aFunction0(X308) )
& ( szDzozmdt0(X310) = X309
| X310 != sdtexdt0(X308,X309)
| ~ aSubsetOf0(X309,szDzozmdt0(X308))
| ~ aFunction0(X308) )
& ( ~ aElementOf0(X311,X309)
| sdtlpdtrp0(X310,X311) = sdtlpdtrp0(X308,X311)
| X310 != sdtexdt0(X308,X309)
| ~ aSubsetOf0(X309,szDzozmdt0(X308))
| ~ aFunction0(X308) )
& ( aElementOf0(esk17_3(X308,X309,X312),X309)
| ~ aFunction0(X312)
| szDzozmdt0(X312) != X309
| X312 = sdtexdt0(X308,X309)
| ~ aSubsetOf0(X309,szDzozmdt0(X308))
| ~ aFunction0(X308) )
& ( sdtlpdtrp0(X312,esk17_3(X308,X309,X312)) != sdtlpdtrp0(X308,esk17_3(X308,X309,X312))
| ~ aFunction0(X312)
| szDzozmdt0(X312) != X309
| X312 = sdtexdt0(X308,X309)
| ~ aSubsetOf0(X309,szDzozmdt0(X308))
| ~ aFunction0(X308) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefRst])])])])])]) ).
fof(i_0_93,plain,
! [X279,X280,X281] :
( ( aSubsetOf0(esk12_3(X279,X280,X281),X279)
| ~ aSubsetOf0(X281,slbdtsldtrb0(X279,X280))
| ~ isFinite0(X281)
| ~ aSet0(X279)
| ~ aElementOf0(X280,szNzAzT0) )
& ( isFinite0(esk12_3(X279,X280,X281))
| ~ aSubsetOf0(X281,slbdtsldtrb0(X279,X280))
| ~ isFinite0(X281)
| ~ aSet0(X279)
| ~ aElementOf0(X280,szNzAzT0) )
& ( aSubsetOf0(X281,slbdtsldtrb0(esk12_3(X279,X280,X281),X280))
| ~ aSubsetOf0(X281,slbdtsldtrb0(X279,X280))
| ~ isFinite0(X281)
| ~ aSet0(X279)
| ~ aElementOf0(X280,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelExtra])])])])]) ).
fof(i_0_94,hypothesis,
! [X325] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X325)),sdtmndt0(sdtlpdtrp0(xN,X325),szmzizndt0(sdtlpdtrp0(xN,X325))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X325),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X325))
| ~ aElementOf0(X325,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X325)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X325),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X325))
| ~ aElementOf0(X325,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])]) ).
fof(i_0_95,plain,
! [X249,X250,X251,X252,X253] :
( ( aSet0(X250)
| X250 != slbdtrb0(X249)
| ~ aElementOf0(X249,szNzAzT0) )
& ( aElementOf0(X251,szNzAzT0)
| ~ aElementOf0(X251,X250)
| X250 != slbdtrb0(X249)
| ~ aElementOf0(X249,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X251),X249)
| ~ aElementOf0(X251,X250)
| X250 != slbdtrb0(X249)
| ~ aElementOf0(X249,szNzAzT0) )
& ( ~ aElementOf0(X252,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X252),X249)
| aElementOf0(X252,X250)
| X250 != slbdtrb0(X249)
| ~ aElementOf0(X249,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X249,X253),X253)
| ~ aElementOf0(esk9_2(X249,X253),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X249,X253)),X249)
| ~ aSet0(X253)
| X253 = slbdtrb0(X249)
| ~ aElementOf0(X249,szNzAzT0) )
& ( aElementOf0(esk9_2(X249,X253),szNzAzT0)
| aElementOf0(esk9_2(X249,X253),X253)
| ~ aSet0(X253)
| X253 = slbdtrb0(X249)
| ~ aElementOf0(X249,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X249,X253)),X249)
| aElementOf0(esk9_2(X249,X253),X253)
| ~ aSet0(X253)
| X253 = slbdtrb0(X249)
| ~ aElementOf0(X249,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSeg])])])])])]) ).
fof(i_0_96,plain,
! [X276,X277,X278] :
( ~ aElementOf0(X276,szNzAzT0)
| ~ aSet0(X277)
| ~ aSet0(X278)
| X276 = sz00
| ~ aSubsetOf0(slbdtsldtrb0(X277,X276),slbdtsldtrb0(X278,X276))
| slbdtsldtrb0(X277,X276) = slcrc0
| aSubsetOf0(X277,X278) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelSub])])]) ).
fof(i_0_97,plain,
! [X314,X315] :
( ( aElementOf0(esk18_2(X314,X315),szDzozmdt0(X314))
| isCountable0(sdtlcdtrc0(X314,X315))
| ~ aSubsetOf0(X315,szDzozmdt0(X314))
| ~ isCountable0(X315)
| ~ aFunction0(X314) )
& ( aElementOf0(esk19_2(X314,X315),szDzozmdt0(X314))
| isCountable0(sdtlcdtrc0(X314,X315))
| ~ aSubsetOf0(X315,szDzozmdt0(X314))
| ~ isCountable0(X315)
| ~ aFunction0(X314) )
& ( esk18_2(X314,X315) != esk19_2(X314,X315)
| isCountable0(sdtlcdtrc0(X314,X315))
| ~ aSubsetOf0(X315,szDzozmdt0(X314))
| ~ isCountable0(X315)
| ~ aFunction0(X314) )
& ( sdtlpdtrp0(X314,esk18_2(X314,X315)) = sdtlpdtrp0(X314,esk19_2(X314,X315))
| isCountable0(sdtlcdtrc0(X314,X315))
| ~ aSubsetOf0(X315,szDzozmdt0(X314))
| ~ isCountable0(X315)
| ~ aFunction0(X314) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgCount])])])])]) ).
fof(i_0_98,plain,
! [X318] :
( ( aElement0(szDzizrdt0(X318))
| ~ isCountable0(szDzozmdt0(X318))
| ~ isFinite0(sdtlcdtrc0(X318,szDzozmdt0(X318)))
| ~ aFunction0(X318) )
& ( isCountable0(sdtlbdtrb0(X318,szDzizrdt0(X318)))
| ~ isCountable0(szDzozmdt0(X318))
| ~ isFinite0(sdtlcdtrc0(X318,szDzozmdt0(X318)))
| ~ aFunction0(X318) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDirichlet])])]) ).
fof(i_0_99,hypothesis,
! [X329,X330] :
( ~ aElementOf0(X329,szNzAzT0)
| ~ aElementOf0(X330,szNzAzT0)
| X329 = X330
| szmzizndt0(sdtlpdtrp0(xN,X329)) != szmzizndt0(sdtlpdtrp0(xN,X330)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3821])]) ).
fof(i_0_100,hypothesis,
! [X327,X328] :
( ~ aElementOf0(X327,szNzAzT0)
| ~ aElementOf0(X328,szNzAzT0)
| ~ sdtlseqdt0(X328,X327)
| aSubsetOf0(sdtlpdtrp0(xN,X327),sdtlpdtrp0(xN,X328)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])]) ).
fof(i_0_101,plain,
! [X219,X220,X221] :
( ~ aElementOf0(X219,szNzAzT0)
| ~ aElementOf0(X220,szNzAzT0)
| ~ aElementOf0(X221,szNzAzT0)
| ~ sdtlseqdt0(X219,X220)
| ~ sdtlseqdt0(X220,X221)
| sdtlseqdt0(X219,X221) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(i_0_102,plain,
! [X242,X243,X244,X245] :
( ( aElementOf0(X243,X242)
| X243 != szmzazxdt0(X242)
| ~ aSubsetOf0(X242,szNzAzT0)
| ~ isFinite0(X242)
| X242 = slcrc0 )
& ( ~ aElementOf0(X244,X242)
| sdtlseqdt0(X244,X243)
| X243 != szmzazxdt0(X242)
| ~ aSubsetOf0(X242,szNzAzT0)
| ~ isFinite0(X242)
| X242 = slcrc0 )
& ( aElementOf0(esk8_2(X242,X245),X242)
| ~ aElementOf0(X245,X242)
| X245 = szmzazxdt0(X242)
| ~ aSubsetOf0(X242,szNzAzT0)
| ~ isFinite0(X242)
| X242 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X242,X245),X245)
| ~ aElementOf0(X245,X242)
| X245 = szmzazxdt0(X242)
| ~ aSubsetOf0(X242,szNzAzT0)
| ~ isFinite0(X242)
| X242 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMax])])])])])]) ).
fof(i_0_103,plain,
! [X306,X307] :
( ~ aFunction0(X306)
| ~ aElementOf0(X307,szDzozmdt0(X306))
| aElementOf0(sdtlpdtrp0(X306,X307),sdtlcdtrc0(X306,szDzozmdt0(X306))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgRng])])]) ).
fof(i_0_104,plain,
! [X247,X248] :
( ~ aSubsetOf0(X247,szNzAzT0)
| ~ aSubsetOf0(X248,szNzAzT0)
| X247 = slcrc0
| X248 = slcrc0
| ~ aElementOf0(szmzizndt0(X247),X248)
| ~ aElementOf0(szmzizndt0(X248),X247)
| szmzizndt0(X247) = szmzizndt0(X248) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMinMin])]) ).
fof(i_0_105,plain,
! [X256,X257] :
( ( ~ aElementOf0(X256,slbdtrb0(szszuzczcdt0(X257)))
| aElementOf0(X256,slbdtrb0(X257))
| X256 = X257
| ~ aElementOf0(X256,szNzAzT0)
| ~ aElementOf0(X257,szNzAzT0) )
& ( ~ aElementOf0(X256,slbdtrb0(X257))
| aElementOf0(X256,slbdtrb0(szszuzczcdt0(X257)))
| ~ aElementOf0(X256,szNzAzT0)
| ~ aElementOf0(X257,szNzAzT0) )
& ( X256 != X257
| aElementOf0(X256,slbdtrb0(szszuzczcdt0(X257)))
| ~ aElementOf0(X256,szNzAzT0)
| ~ aElementOf0(X257,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
fof(i_0_106,plain,
! [X237,X238,X239,X240] :
( ( aElementOf0(X238,X237)
| X238 != szmzizndt0(X237)
| ~ aSubsetOf0(X237,szNzAzT0)
| X237 = slcrc0 )
& ( ~ aElementOf0(X239,X237)
| sdtlseqdt0(X238,X239)
| X238 != szmzizndt0(X237)
| ~ aSubsetOf0(X237,szNzAzT0)
| X237 = slcrc0 )
& ( aElementOf0(esk7_2(X237,X240),X237)
| ~ aElementOf0(X240,X237)
| X240 = szmzizndt0(X237)
| ~ aSubsetOf0(X237,szNzAzT0)
| X237 = slcrc0 )
& ( ~ sdtlseqdt0(X240,esk7_2(X237,X240))
| ~ aElementOf0(X240,X237)
| X240 = szmzizndt0(X237)
| ~ aSubsetOf0(X237,szNzAzT0)
| X237 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMin])])])])])]) ).
fof(i_0_107,plain,
! [X234,X235] :
( ( aSubsetOf0(esk6_2(X234,X235),X234)
| ~ isFinite0(X234)
| ~ sdtlseqdt0(X235,sbrdtbr0(X234))
| ~ aSet0(X234)
| ~ aElementOf0(X235,szNzAzT0) )
& ( sbrdtbr0(esk6_2(X234,X235)) = X235
| ~ isFinite0(X234)
| ~ sdtlseqdt0(X235,sbrdtbr0(X234))
| ~ aSet0(X234)
| ~ aElementOf0(X235,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])]) ).
fof(i_0_108,plain,
! [X230,X231] :
( ~ aSet0(X230)
| ~ isFinite0(X230)
| ~ aElementOf0(X231,X230)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X230,X231))) = sbrdtbr0(X230) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])]) ).
fof(i_0_109,plain,
! [X213,X214] :
( ( ~ sdtlseqdt0(X213,X214)
| sdtlseqdt0(szszuzczcdt0(X213),szszuzczcdt0(X214))
| ~ aElementOf0(X213,szNzAzT0)
| ~ aElementOf0(X214,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X213),szszuzczcdt0(X214))
| sdtlseqdt0(X213,X214)
| ~ aElementOf0(X213,szNzAzT0)
| ~ aElementOf0(X214,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(i_0_110,plain,
! [X258,X259] :
( ( ~ sdtlseqdt0(X258,X259)
| aSubsetOf0(slbdtrb0(X258),slbdtrb0(X259))
| ~ aElementOf0(X258,szNzAzT0)
| ~ aElementOf0(X259,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X258),slbdtrb0(X259))
| sdtlseqdt0(X258,X259)
| ~ aElementOf0(X258,szNzAzT0)
| ~ aElementOf0(X259,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
fof(i_0_111,plain,
! [X166,X167,X168,X169] :
( ( aSet0(X167)
| ~ aSubsetOf0(X167,X166)
| ~ aSet0(X166) )
& ( ~ aElementOf0(X168,X167)
| aElementOf0(X168,X166)
| ~ aSubsetOf0(X167,X166)
| ~ aSet0(X166) )
& ( aElementOf0(esk2_2(X166,X169),X169)
| ~ aSet0(X169)
| aSubsetOf0(X169,X166)
| ~ aSet0(X166) )
& ( ~ aElementOf0(esk2_2(X166,X169),X166)
| ~ aSet0(X169)
| aSubsetOf0(X169,X166)
| ~ aSet0(X166) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])]) ).
fof(i_0_112,plain,
! [X217,X218] :
( ~ aElementOf0(X217,szNzAzT0)
| ~ aElementOf0(X218,szNzAzT0)
| ~ sdtlseqdt0(X217,X218)
| ~ sdtlseqdt0(X218,X217)
| X217 = X218 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(i_0_113,plain,
! [X176,X177,X178] :
( ~ aSet0(X176)
| ~ aSet0(X177)
| ~ aSet0(X178)
| ~ aSubsetOf0(X176,X177)
| ~ aSubsetOf0(X177,X178)
| aSubsetOf0(X176,X178) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(i_0_114,plain,
! [X228,X229] :
( ~ aSet0(X228)
| ~ isFinite0(X228)
| ~ aElement0(X229)
| aElementOf0(X229,X228)
| sbrdtbr0(sdtpldt0(X228,X229)) = szszuzczcdt0(sbrdtbr0(X228)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_81])])]) ).
fof(i_0_115,plain,
! [X222,X223] :
( ~ aElementOf0(X222,szNzAzT0)
| ~ aElementOf0(X223,szNzAzT0)
| sdtlseqdt0(X222,X223)
| sdtlseqdt0(szszuzczcdt0(X223),X222) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(i_0_116,plain,
! [X193,X194] :
( ~ aSet0(X193)
| ~ aElementOf0(X194,X193)
| sdtpldt0(sdtmndt0(X193,X194),X194) = X193 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
fof(i_0_117,plain,
! [X195,X196] :
( ~ aElement0(X195)
| ~ aSet0(X196)
| aElementOf0(X195,X196)
| sdtmndt0(sdtpldt0(X196,X195),X195) = X196 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_82])]) ).
fof(i_0_118,plain,
! [X284,X285] :
( ~ aFunction0(X284)
| ~ aElementOf0(X285,szDzozmdt0(X284))
| aElement0(sdtlpdtrp0(X284,X285)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgElm])])]) ).
fof(i_0_119,plain,
! [X274,X275] :
( ~ aSet0(X274)
| ~ isCountable0(X274)
| ~ aElementOf0(X275,szNzAzT0)
| X275 = sz00
| isCountable0(slbdtsldtrb0(X274,X275)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelCSet])])]) ).
fof(i_0_120,plain,
! [X270,X271] :
( ~ aSet0(X270)
| ~ isFinite0(X270)
| ~ aElementOf0(X271,szNzAzT0)
| isFinite0(slbdtsldtrb0(X270,X271)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelFSet])])]) ).
fof(i_0_121,plain,
! [X232,X233] :
( ~ aSet0(X232)
| ~ isFinite0(X232)
| ~ aSubsetOf0(X233,X232)
| sdtlseqdt0(sbrdtbr0(X233),sbrdtbr0(X232)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])]) ).
fof(i_0_122,plain,
! [X174,X175] :
( ~ aSet0(X174)
| ~ aSet0(X175)
| ~ aSubsetOf0(X174,X175)
| ~ aSubsetOf0(X175,X174)
| X174 = X175 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
fof(i_0_123,plain,
! [X293,X294] :
( ~ aFunction0(X293)
| ~ aElement0(X294)
| aSubsetOf0(sdtlbdtrb0(X293,X294),szDzozmdt0(X293)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPttSet])]) ).
fof(i_0_124,plain,
! [X260] :
( ( aElementOf0(esk10_1(X260),szNzAzT0)
| ~ aSubsetOf0(X260,szNzAzT0)
| ~ isFinite0(X260) )
& ( aSubsetOf0(X260,slbdtrb0(esk10_1(X260)))
| ~ aSubsetOf0(X260,szNzAzT0)
| ~ isFinite0(X260) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFinSubSeg])])])]) ).
fof(i_0_125,plain,
! [X206,X207] :
( ~ aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X207,szNzAzT0)
| szszuzczcdt0(X206) != szszuzczcdt0(X207)
| X206 = X207 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
fof(i_0_126,hypothesis,
! [X326] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X326),szNzAzT0)
| ~ aElementOf0(X326,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X326))
| ~ aElementOf0(X326,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
fof(i_0_127,plain,
! [X272,X273] :
( ~ aSet0(X272)
| isFinite0(X272)
| ~ aElementOf0(X273,szNzAzT0)
| slbdtsldtrb0(X272,X273) != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_83])])]) ).
fof(i_0_128,plain,
! [X199,X200] :
( ~ aElement0(X199)
| ~ aSet0(X200)
| ~ isCountable0(X200)
| isCountable0(sdtmndt0(X200,X199)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCDiffSet])])]) ).
fof(i_0_129,plain,
! [X197,X198] :
( ~ aElement0(X197)
| ~ aSet0(X198)
| ~ isCountable0(X198)
| isCountable0(sdtpldt0(X198,X197)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCConsSet])])]) ).
fof(i_0_130,plain,
! [X203,X204] :
( ~ aElement0(X203)
| ~ aSet0(X204)
| ~ isFinite0(X204)
| isFinite0(sdtmndt0(X204,X203)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
fof(i_0_131,plain,
! [X201,X202] :
( ~ aElement0(X201)
| ~ aSet0(X202)
| ~ isFinite0(X202)
| isFinite0(sdtpldt0(X202,X201)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])]) ).
fof(i_0_132,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(i_0_133,plain,
! [X212] :
( ~ aElementOf0(X212,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X212),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_84])]) ).
fof(i_0_134,plain,
! [X171,X172] :
( ~ aSet0(X171)
| ~ isFinite0(X171)
| ~ aSubsetOf0(X172,X171)
| isFinite0(X172) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
fof(i_0_135,plain,
! [X226] :
( ( ~ aElementOf0(sbrdtbr0(X226),szNzAzT0)
| isFinite0(X226)
| ~ aSet0(X226) )
& ( ~ isFinite0(X226)
| aElementOf0(sbrdtbr0(X226),szNzAzT0)
| ~ aSet0(X226) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(i_0_136,plain,
! [X208] :
( ( aElementOf0(esk5_1(X208),szNzAzT0)
| X208 = sz00
| ~ aElementOf0(X208,szNzAzT0) )
& ( X208 = szszuzczcdt0(esk5_1(X208))
| X208 = sz00
| ~ aElementOf0(X208,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
fof(i_0_137,plain,
! [X224] :
( ~ aElementOf0(X224,szNzAzT0)
| iLess0(X224,szszuzczcdt0(X224)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(i_0_138,plain,
! [X215] :
( ~ aElementOf0(X215,szNzAzT0)
| sdtlseqdt0(X215,szszuzczcdt0(X215)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(i_0_139,plain,
! [X205] :
( ( aElementOf0(szszuzczcdt0(X205),szNzAzT0)
| ~ aElementOf0(X205,szNzAzT0) )
& ( szszuzczcdt0(X205) != sz00
| ~ aElementOf0(X205,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(i_0_140,plain,
! [X216] :
( ~ aElementOf0(X216,szNzAzT0)
| sdtlseqdt0(X216,X216) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessRefl])]) ).
fof(i_0_141,plain,
! [X158,X159] :
( ~ aSet0(X158)
| ~ aElementOf0(X159,X158)
| aElement0(X159) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_142,plain,
! [X211] :
( ~ aElementOf0(X211,szNzAzT0)
| sdtlseqdt0(sz00,X211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(i_0_143,plain,
! [X262] :
( ~ aElementOf0(X262,szNzAzT0)
| sbrdtbr0(slbdtrb0(X262)) = X262 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
fof(i_0_144,plain,
! [X255] :
( ~ aElementOf0(X255,szNzAzT0)
| isFinite0(slbdtrb0(X255)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
fof(i_0_145,plain,
! [X160,X161,X162] :
( ( aSet0(X160)
| X160 != slcrc0 )
& ( ~ aElementOf0(X161,X160)
| X160 != slcrc0 )
& ( ~ aSet0(X162)
| aElementOf0(esk1_1(X162),X162)
| X162 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefEmp])])])])])]) ).
fof(i_0_146,plain,
! [X210] :
( ~ aElementOf0(X210,szNzAzT0)
| X210 != szszuzczcdt0(X210) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(i_0_147,plain,
! [X173] :
( ~ aSet0(X173)
| aSubsetOf0(X173,X173) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(i_0_148,plain,
! [X164] :
( ~ aSet0(X164)
| ~ isCountable0(X164)
| ~ isFinite0(X164) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_85])]) ).
fof(i_0_149,plain,
! [X225] :
( ~ aSet0(X225)
| aElement0(sbrdtbr0(X225)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(i_0_150,plain,
! [X283] :
( ~ aFunction0(X283)
| aSet0(szDzozmdt0(X283)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
fof(i_0_151,plain,
! [X165] :
( ~ aSet0(X165)
| ~ isCountable0(X165)
| X165 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(i_0_152,plain,
! [X227] :
( ( sbrdtbr0(X227) != sz00
| X227 = slcrc0
| ~ aSet0(X227) )
& ( X227 != slcrc0
| sbrdtbr0(X227) = sz00
| ~ aSet0(X227) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
cnf(i_0_153,hypothesis,
( sdtlpdtrp0(X4,X1) = esk20_3(X2,X3,X4)
| ~ aElementOf0(X1,slbdtsldtrb0(esk21_3(X2,X3,X4),X2))
| ~ iLess0(X2,xK)
| ~ aFunction0(X4)
| szDzozmdt0(X4) != slbdtsldtrb0(X3,X2)
| ~ aSubsetOf0(sdtlcdtrc0(X4,szDzozmdt0(X4)),xT)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ isCountable0(X3)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_154,plain,
( esk4_3(X1,X2,X3) = X2
| X3 = sdtmndt0(X1,X2)
| ~ aElementOf0(esk4_3(X1,X2,X3),X3)
| ~ aElement0(esk4_3(X1,X2,X3))
| ~ aElementOf0(esk4_3(X1,X2,X3),X1)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_155,plain,
( X3 = sdtlbdtrb0(X1,X2)
| ~ aElementOf0(esk13_3(X1,X2,X3),X3)
| ~ aElementOf0(esk13_3(X1,X2,X3),szDzozmdt0(X1))
| sdtlpdtrp0(X1,esk13_3(X1,X2,X3)) != X2
| ~ aSet0(X3)
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_156,plain,
( X3 = slbdtsldtrb0(X1,X2)
| ~ aElementOf0(esk11_3(X1,X2,X3),X3)
| ~ aSubsetOf0(esk11_3(X1,X2,X3),X1)
| sbrdtbr0(esk11_3(X1,X2,X3)) != X2
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_157,plain,
( sdtlpdtrp0(X1,esk14_4(X1,X2,X3,X4)) = X4
| ~ aElementOf0(X4,X3)
| X3 != sdtlcdtrc0(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_158,plain,
( aElementOf0(esk14_4(X1,X2,X3,X4),X2)
| ~ aElementOf0(X4,X3)
| X3 != sdtlcdtrc0(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_159,plain,
( X3 = sdtpldt0(X1,X2)
| ~ aElementOf0(esk3_3(X1,X2,X3),X1)
| ~ aElement0(esk3_3(X1,X2,X3))
| ~ aElementOf0(esk3_3(X1,X2,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_160,plain,
( X3 = sdtpldt0(X1,X2)
| esk3_3(X1,X2,X3) != X2
| ~ aElement0(esk3_3(X1,X2,X3))
| ~ aElementOf0(esk3_3(X1,X2,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_161,plain,
( X1 = sdtexdt0(X2,X3)
| sdtlpdtrp0(X1,esk17_3(X2,X3,X1)) != sdtlpdtrp0(X2,esk17_3(X2,X3,X1))
| ~ aFunction0(X1)
| szDzozmdt0(X1) != X3
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_162,plain,
( X3 = sdtlcdtrc0(X1,X2)
| ~ aElementOf0(esk15_3(X1,X2,X3),X3)
| ~ aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != esk15_3(X1,X2,X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_163,plain,
( sdtlpdtrp0(X1,esk16_3(X1,X2,X3)) = esk15_3(X1,X2,X3)
| aElementOf0(esk15_3(X1,X2,X3),X3)
| X3 = sdtlcdtrc0(X1,X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_164,plain,
( aSubsetOf0(X1,slbdtsldtrb0(esk12_3(X2,X3,X1),X3))
| ~ aSubsetOf0(X1,slbdtsldtrb0(X2,X3))
| ~ isFinite0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_165,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(split_conjunct,[status(thm)],[m__3989_02]),
[final] ).
cnf(i_0_166,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_167,plain,
( aElementOf0(esk3_3(X1,X2,X3),X1)
| esk3_3(X1,X2,X3) = X2
| aElementOf0(esk3_3(X1,X2,X3),X3)
| X3 = sdtpldt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_168,hypothesis,
( aSubsetOf0(esk21_3(X1,X2,X3),X2)
| ~ iLess0(X1,xK)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_169,plain,
( aElementOf0(esk16_3(X1,X2,X3),X2)
| aElementOf0(esk15_3(X1,X2,X3),X3)
| X3 = sdtlcdtrc0(X1,X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_170,hypothesis,
( aElementOf0(esk20_3(X1,X2,X3),xT)
| ~ iLess0(X1,xK)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_171,hypothesis,
( isCountable0(esk21_3(X1,X2,X3))
| ~ iLess0(X1,xK)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_172,plain,
( aSubsetOf0(esk11_3(X1,X2,X3),X1)
| aElementOf0(esk11_3(X1,X2,X3),X3)
| X3 = slbdtsldtrb0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_173,plain,
( aElementOf0(esk13_3(X1,X2,X3),szDzozmdt0(X1))
| aElementOf0(esk13_3(X1,X2,X3),X3)
| X3 = sdtlbdtrb0(X1,X2)
| ~ aSet0(X3)
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_174,plain,
( sbrdtbr0(esk11_3(X1,X2,X3)) = X2
| aElementOf0(esk11_3(X1,X2,X3),X3)
| X3 = slbdtsldtrb0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_175,plain,
( sdtlpdtrp0(X1,esk13_3(X1,X2,X3)) = X2
| aElementOf0(esk13_3(X1,X2,X3),X3)
| X3 = sdtlbdtrb0(X1,X2)
| ~ aSet0(X3)
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_176,plain,
( aElementOf0(esk4_3(X1,X2,X3),X1)
| aElementOf0(esk4_3(X1,X2,X3),X3)
| X3 = sdtmndt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_177,plain,
( X2 = slbdtrb0(X1)
| ~ aElementOf0(esk9_2(X1,X2),X2)
| ~ aElementOf0(esk9_2(X1,X2),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X1,X2)),X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_178,plain,
( aElement0(esk4_3(X1,X2,X3))
| aElementOf0(esk4_3(X1,X2,X3),X3)
| X3 = sdtmndt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_179,plain,
( aElement0(esk3_3(X1,X2,X3))
| aElementOf0(esk3_3(X1,X2,X3),X3)
| X3 = sdtpldt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_180,plain,
( aElementOf0(esk4_3(X1,X2,X3),X3)
| X3 = sdtmndt0(X1,X2)
| esk4_3(X1,X2,X3) != X2
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_181,plain,
( aSubsetOf0(esk12_3(X1,X2,X3),X1)
| ~ aSubsetOf0(X3,slbdtsldtrb0(X1,X2))
| ~ isFinite0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_182,plain,
( isFinite0(esk12_3(X1,X2,X3))
| ~ aSubsetOf0(X3,slbdtsldtrb0(X1,X2))
| ~ isFinite0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_183,plain,
( aElementOf0(esk17_3(X1,X2,X3),X2)
| X3 = sdtexdt0(X1,X2)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != X2
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_184,plain,
( X1 = sz00
| slbdtsldtrb0(X2,X1) = slcrc0
| aSubsetOf0(X2,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(slbdtsldtrb0(X2,X1),slbdtsldtrb0(X3,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_185,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_186,plain,
( sdtlpdtrp0(X1,esk18_2(X1,X2)) = sdtlpdtrp0(X1,esk19_2(X1,X2))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_187,plain,
( sdtlseqdt0(szszuzczcdt0(esk9_2(X1,X2)),X1)
| aElementOf0(esk9_2(X1,X2),X2)
| X2 = slbdtrb0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_188,plain,
( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_189,hypothesis,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_190,plain,
( aElementOf0(X4,X5)
| ~ aElementOf0(X1,X2)
| sdtlpdtrp0(X3,X1) != X4
| X5 != sdtlcdtrc0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_191,plain,
( aElementOf0(esk19_2(X1,X2),szDzozmdt0(X1))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_192,plain,
( aElementOf0(esk18_2(X1,X2),szDzozmdt0(X1))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_193,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_194,plain,
( isCountable0(sdtlcdtrc0(X1,X2))
| esk18_2(X1,X2) != esk19_2(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_195,plain,
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_196,plain,
( X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ sdtlseqdt0(esk8_2(X1,X2),X2)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_197,hypothesis,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK,
inference(split_conjunct,[status(thm)],[m__4007]),
[final] ).
cnf(i_0_198,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_199,plain,
( X1 = slcrc0
| X2 = slcrc0
| szmzizndt0(X1) = szmzizndt0(X2)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),X2)
| ~ aElementOf0(szmzizndt0(X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_200,plain,
( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_201,plain,
( sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X4,X1)
| ~ aElementOf0(X1,X2)
| X3 != sdtexdt0(X4,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X4))
| ~ aFunction0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_202,plain,
( X1 = szmzizndt0(X2)
| X2 = slcrc0
| ~ sdtlseqdt0(X1,esk7_2(X2,X1))
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_203,plain,
( aElementOf0(esk9_2(X1,X2),szNzAzT0)
| aElementOf0(esk9_2(X1,X2),X2)
| X2 = slbdtrb0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_204,plain,
( aElementOf0(X1,X4)
| ~ aElementOf0(X1,szDzozmdt0(X2))
| sdtlpdtrp0(X2,X1) != X3
| X4 != sdtlbdtrb0(X2,X3)
| ~ aFunction0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_205,plain,
( aSubsetOf0(esk6_2(X1,X2),X1)
| ~ isFinite0(X1)
| ~ sdtlseqdt0(X2,sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_206,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_207,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_208,plain,
( aElement0(szDzizrdt0(X1))
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_209,plain,
( sbrdtbr0(esk6_2(X1,X2)) = X2
| ~ isFinite0(X1)
| ~ sdtlseqdt0(X2,sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_210,plain,
( aElementOf0(esk8_2(X1,X2),X1)
| X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_211,plain,
( aElementOf0(X1,X4)
| ~ aSubsetOf0(X1,X2)
| sbrdtbr0(X1) != X3
| X4 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_212,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_213,plain,
( sdtlseqdt0(X1,X2)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_214,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_215,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_216,plain,
( aElementOf0(esk7_2(X1,X2),X1)
| X2 = szmzizndt0(X1)
| X1 = slcrc0
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_217,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_218,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_219,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_220,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_221,plain,
( X1 = X3
| aElementOf0(X1,X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X2)
| X4 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_222,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_223,plain,
( aElementOf0(X1,szDzozmdt0(X2))
| ~ aElementOf0(X1,X3)
| X3 != sdtlbdtrb0(X2,X4)
| ~ aFunction0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_224,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_225,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_226,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_227,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_228,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_229,plain,
( sdtlpdtrp0(X1,X2) = X3
| ~ aElementOf0(X2,X4)
| X4 != sdtlbdtrb0(X1,X3)
| ~ aFunction0(X1)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_230,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_231,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_232,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_233,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_234,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_235,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_236,plain,
( aElement0(sdtlpdtrp0(X1,X2))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_237,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_238,plain,
( szDzozmdt0(X1) = X2
| X1 != sdtexdt0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_239,plain,
( aFunction0(X1)
| X1 != sdtexdt0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_240,plain,
( aSet0(X1)
| X1 != sdtlcdtrc0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_241,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_242,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_243,plain,
( X2 = sz00
| isCountable0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_244,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_245,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_246,plain,
( isFinite0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_247,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_248,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_249,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_250,plain,
( aElementOf0(X1,X3)
| X1 != X2
| ~ aElement0(X1)
| X3 != sdtpldt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_251,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_252,plain,
( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_253,plain,
( aSubsetOf0(X1,slbdtrb0(esk10_1(X1)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_254,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_255,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_256,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_257,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| slbdtsldtrb0(X1,X2) != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_258,plain,
( isCountable0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_259,plain,
( isCountable0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_260,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_261,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_262,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_263,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_264,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_265,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_266,plain,
( aElementOf0(esk10_1(X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_267,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_268,plain,
( aSet0(X1)
| X1 != sdtlbdtrb0(X2,X3)
| ~ aFunction0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_269,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_270,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_271,hypothesis,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_272,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_273,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_274,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_275,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_276,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_277,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_278,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_279,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_280,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_281,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_282,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_283,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_284,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_285,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_286,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_287,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_288,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_289,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_290,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_291,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_292,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_293,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_294,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_295,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_296,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_297,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_298,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_299,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3435]),
[final] ).
cnf(i_0_300,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3989]),
[final] ).
cnf(i_0_301,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]),
[final] ).
cnf(i_0_302,hypothesis,
aElementOf0(xK,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3418]),
[final] ).
cnf(i_0_303,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]),
[final] ).
cnf(i_0_304,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_305,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_306,hypothesis,
aFunction0(xN),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_307,hypothesis,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_308,hypothesis,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[m__3435]),
[final] ).
cnf(i_0_309,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_310,hypothesis,
isFinite0(xT),
inference(split_conjunct,[status(thm)],[m__3291]),
[final] ).
cnf(i_0_311,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]),
[final] ).
cnf(i_0_312,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__3291]),
[final] ).
cnf(i_0_313,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_314,hypothesis,
szDzozmdt0(xN) = szNzAzT0,
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_315,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]),
[final] ).
cnf(i_0_316,hypothesis,
szszuzczcdt0(xk) = xK,
inference(split_conjunct,[status(thm)],[m__3533]),
[final] ).
cnf(i_0_317,hypothesis,
xK != sz00,
inference(split_conjunct,[status(thm)],[m__3520]),
[final] ).
cnf(i_0_318,hypothesis,
xK != sz00,
inference(split_conjunct,[status(thm)],[m__3462]),
[final] ).
cnf(i_0_319,axiom,
X1 = X1 ).
cnf(i_0_320,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_321,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_322,axiom,
( X1 != X2
| sdtlpdtrp0(X1,X3) = sdtlpdtrp0(X2,X3) ) ).
cnf(i_0_323,axiom,
( X1 != X2
| sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X3,X2) ) ).
cnf(i_0_324,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_325,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_326,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_327,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_328,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_329,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_330,axiom,
( X1 != X2
| sdtexdt0(X1,X3) = sdtexdt0(X2,X3) ) ).
cnf(i_0_331,axiom,
( X1 != X2
| sdtexdt0(X3,X1) = sdtexdt0(X3,X2) ) ).
cnf(i_0_332,axiom,
( X1 != X2
| esk15_3(X1,X3,X4) = esk15_3(X2,X3,X4) ) ).
cnf(i_0_333,axiom,
( X1 != X2
| esk15_3(X3,X1,X4) = esk15_3(X3,X2,X4) ) ).
cnf(i_0_334,axiom,
( X1 != X2
| esk15_3(X3,X4,X1) = esk15_3(X3,X4,X2) ) ).
cnf(i_0_335,axiom,
( X1 != X2
| esk20_3(X1,X3,X4) = esk20_3(X2,X3,X4) ) ).
cnf(i_0_336,axiom,
( X1 != X2
| esk20_3(X3,X1,X4) = esk20_3(X3,X2,X4) ) ).
cnf(i_0_337,axiom,
( X1 != X2
| esk20_3(X3,X4,X1) = esk20_3(X3,X4,X2) ) ).
cnf(i_0_338,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_339,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_340,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_341,axiom,
( X1 != X2
| esk18_2(X1,X3) = esk18_2(X2,X3) ) ).
cnf(i_0_342,axiom,
( X1 != X2
| esk18_2(X3,X1) = esk18_2(X3,X2) ) ).
cnf(i_0_343,axiom,
( X1 != X2
| esk19_2(X1,X3) = esk19_2(X2,X3) ) ).
cnf(i_0_344,axiom,
( X1 != X2
| esk19_2(X3,X1) = esk19_2(X3,X2) ) ).
cnf(i_0_345,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_346,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_347,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_348,axiom,
( X1 != X2
| szDzozmdt0(X1) = szDzozmdt0(X2) ) ).
cnf(i_0_349,axiom,
( X1 != X2
| sdtlcdtrc0(X1,X3) = sdtlcdtrc0(X2,X3) ) ).
cnf(i_0_350,axiom,
( X1 != X2
| sdtlcdtrc0(X3,X1) = sdtlcdtrc0(X3,X2) ) ).
cnf(i_0_351,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_352,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_353,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_354,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_355,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_356,axiom,
( X1 != X2
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X2,X3) ) ).
cnf(i_0_357,axiom,
( X1 != X2
| sdtlbdtrb0(X3,X1) = sdtlbdtrb0(X3,X2) ) ).
cnf(i_0_358,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_359,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_360,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_361,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_362,axiom,
( X1 != X2
| ~ aFunction0(X1)
| aFunction0(X2) ) ).
cnf(i_0_363,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_364,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_365,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_366,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_367,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_368,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_369,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_370,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_319_001,axiom,
X1 = X1 ).
cnf(i_0_320_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_321_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_322_004,axiom,
( X1 != X2
| sdtlpdtrp0(X1,X3) = sdtlpdtrp0(X2,X3) ) ).
cnf(i_0_323_005,axiom,
( X1 != X2
| sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X3,X2) ) ).
cnf(i_0_324_006,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_325_007,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_326_008,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_327_009,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_328_010,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_329_011,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_330_012,axiom,
( X1 != X2
| sdtexdt0(X1,X3) = sdtexdt0(X2,X3) ) ).
cnf(i_0_331_013,axiom,
( X1 != X2
| sdtexdt0(X3,X1) = sdtexdt0(X3,X2) ) ).
cnf(i_0_332_014,axiom,
( X1 != X2
| esk15_3(X1,X3,X4) = esk15_3(X2,X3,X4) ) ).
cnf(i_0_333_015,axiom,
( X1 != X2
| esk15_3(X3,X1,X4) = esk15_3(X3,X2,X4) ) ).
cnf(i_0_334_016,axiom,
( X1 != X2
| esk15_3(X3,X4,X1) = esk15_3(X3,X4,X2) ) ).
cnf(i_0_335_017,axiom,
( X1 != X2
| esk20_3(X1,X3,X4) = esk20_3(X2,X3,X4) ) ).
cnf(i_0_336_018,axiom,
( X1 != X2
| esk20_3(X3,X1,X4) = esk20_3(X3,X2,X4) ) ).
cnf(i_0_337_019,axiom,
( X1 != X2
| esk20_3(X3,X4,X1) = esk20_3(X3,X4,X2) ) ).
cnf(i_0_338_020,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_339_021,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_340_022,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_341_023,axiom,
( X1 != X2
| esk18_2(X1,X3) = esk18_2(X2,X3) ) ).
cnf(i_0_342_024,axiom,
( X1 != X2
| esk18_2(X3,X1) = esk18_2(X3,X2) ) ).
cnf(i_0_343_025,axiom,
( X1 != X2
| esk19_2(X1,X3) = esk19_2(X2,X3) ) ).
cnf(i_0_344_026,axiom,
( X1 != X2
| esk19_2(X3,X1) = esk19_2(X3,X2) ) ).
cnf(i_0_345_027,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_346_028,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_347_029,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_348_030,axiom,
( X1 != X2
| szDzozmdt0(X1) = szDzozmdt0(X2) ) ).
cnf(i_0_349_031,axiom,
( X1 != X2
| sdtlcdtrc0(X1,X3) = sdtlcdtrc0(X2,X3) ) ).
cnf(i_0_350_032,axiom,
( X1 != X2
| sdtlcdtrc0(X3,X1) = sdtlcdtrc0(X3,X2) ) ).
cnf(i_0_351_033,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_352_034,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_353_035,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_354_036,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_355_037,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_356_038,axiom,
( X1 != X2
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X2,X3) ) ).
cnf(i_0_357_039,axiom,
( X1 != X2
| sdtlbdtrb0(X3,X1) = sdtlbdtrb0(X3,X2) ) ).
cnf(i_0_358_040,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_359_041,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_360_042,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_361_043,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_362_044,axiom,
( X1 != X2
| ~ aFunction0(X1)
| aFunction0(X2) ) ).
cnf(i_0_363_045,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_364_046,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_365_047,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_366_048,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_367_049,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_368_050,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_369_051,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_370_052,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_371,plain,
( ~ aElementOf0(X1,sdtlcdtrc0(X2,X3))
| ~ aFunction0(X2)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| sdtlpdtrp0(X2,esk14_4(X2,X3,sdtlcdtrc0(X2,X3),X1)) = X1 ),
inference(equality_inference,[],[157]) ).
cnf(i_0_372,plain,
( ~ aElementOf0(X1,sdtlcdtrc0(X2,X3))
| ~ aFunction0(X2)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| aElementOf0(esk14_4(X2,X3,sdtlcdtrc0(X2,X3),X1),X3) ),
inference(equality_inference,[],[158]) ).
cnf(i_0_373,plain,
( ~ aFunction0(X1)
| ~ aFunction0(X2)
| X1 = sdtexdt0(X2,szDzozmdt0(X1))
| ~ aSubsetOf0(szDzozmdt0(X1),szDzozmdt0(X2))
| aElementOf0(esk17_3(X2,szDzozmdt0(X1),X1),szDzozmdt0(X1)) ),
inference(equality_inference,[],[183]) ).
cnf(i_0_374,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[189]) ).
cnf(i_0_375,plain,
( ~ aFunction0(X1)
| ~ aElementOf0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X1))
| sdtlpdtrp0(sdtexdt0(X1,X3),X2) = sdtlpdtrp0(X1,X2) ),
inference(equality_inference,[],[201]) ).
cnf(i_0_376,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[214]) ).
cnf(i_0_377,plain,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0) ),
inference(equality_inference,[],[219]) ).
cnf(i_0_378,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| X1 = X3
| aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[221]) ).
cnf(i_0_379,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[222]) ).
cnf(i_0_380,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtlbdtrb0(X1,X2))
| aElementOf0(X3,szDzozmdt0(X1)) ),
inference(equality_inference,[],[223]) ).
cnf(i_0_381,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0)
| sbrdtbr0(X2) = X3 ),
inference(equality_inference,[],[225]) ).
cnf(i_0_382,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| X3 = X2
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[226]) ).
cnf(i_0_383,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(equality_inference,[],[227]) ).
cnf(i_0_384,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X3) = X2 ),
inference(equality_inference,[],[229]) ).
cnf(i_0_385,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[231]) ).
cnf(i_0_386,plain,
( ~ aElementOf0(X1,X2)
| ~ isFinite0(X2)
| sdtlseqdt0(X1,szmzazxdt0(X2))
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[232]) ).
cnf(i_0_387,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[233]) ).
cnf(i_0_388,plain,
( ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| szDzozmdt0(sdtexdt0(X1,X2)) = X2 ),
inference(equality_inference,[],[238]) ).
cnf(i_0_389,plain,
( ~ aFunction0(X1)
| aFunction0(sdtexdt0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(equality_inference,[],[239]) ).
cnf(i_0_390,plain,
( ~ aFunction0(X1)
| aSet0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(equality_inference,[],[240]) ).
cnf(i_0_391,plain,
( ~ aElementOf0(X1,X2)
| sdtlseqdt0(szmzizndt0(X2),X1)
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[241]) ).
cnf(i_0_392,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[244]) ).
cnf(i_0_393,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[245]) ).
cnf(i_0_394,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[248]) ).
cnf(i_0_395,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[254]) ).
cnf(i_0_396,plain,
( ~ aSet0(X1)
| aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(equality_inference,[],[256]) ).
cnf(i_0_397,plain,
( ~ isFinite0(X1)
| aElementOf0(szmzazxdt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[262]) ).
cnf(i_0_398,plain,
( aElementOf0(szmzizndt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[267]) ).
cnf(i_0_399,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| aSet0(sdtlbdtrb0(X1,X2)) ),
inference(equality_inference,[],[268]) ).
cnf(i_0_400,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[269]) ).
cnf(i_0_401,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[270]) ).
cnf(i_0_402,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[282]) ).
cnf(i_0_403,plain,
~ aElementOf0(X1,slcrc0),
inference(equality_inference,[],[290]) ).
cnf(i_0_404,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_inference,[],[295]) ).
cnf(i_0_405,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_inference,[],[297]) ).
cnf(i_0_406,plain,
aSet0(slcrc0),
inference(equality_inference,[],[305]) ).
cnf(i_0_407,plain,
~ isCountable0(slcrc0),
inference(scs_inference,[],[i_0_406,i_0_404]) ).
cnf(i_0_408,plain,
sbrdtbr0(slcrc0) = sz00,
inference(scs_inference,[],[i_0_406,i_0_405]) ).
cnf(i_0_409,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(scs_inference,[],[i_0_298,i_0_320]) ).
cnf(i_0_410,plain,
iLess0(xi,szszuzczcdt0(xi)),
inference(scs_inference,[],[i_0_300,i_0_298,i_0_320,i_0_275]) ).
cnf(i_0_411,plain,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_275]) ).
cnf(i_0_412,plain,
sdtlseqdt0(xi,szszuzczcdt0(xi)),
inference(scs_inference,[],[i_0_300,i_0_298,i_0_320,i_0_275,i_0_276]) ).
cnf(i_0_413,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_276]) ).
cnf(i_0_414,plain,
sdtlseqdt0(xi,xi),
inference(scs_inference,[],[i_0_300,i_0_298,i_0_320,i_0_275,i_0_276,i_0_278]) ).
cnf(i_0_415,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(rename_variables,[],[i_0_278]) ).
cnf(i_0_416,plain,
sdtlseqdt0(sz00,xi),
inference(scs_inference,[],[i_0_300,i_0_298,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284]) ).
cnf(i_0_417,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(rename_variables,[],[i_0_284]) ).
cnf(i_0_418,plain,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_300,i_0_298,i_0_315,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290]) ).
cnf(i_0_419,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(rename_variables,[],[i_0_290]) ).
cnf(i_0_420,plain,
aSubsetOf0(xT,xT),
inference(scs_inference,[],[i_0_300,i_0_312,i_0_298,i_0_315,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291]) ).
cnf(i_0_421,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_291]) ).
cnf(i_0_422,plain,
aSet0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_300,i_0_312,i_0_298,i_0_315,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305]) ).
cnf(i_0_423,plain,
( X1 != slcrc0
| aSet0(X1) ),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_424,plain,
aSet0(slbdtrb0(xi)),
inference(scs_inference,[],[i_0_300,i_0_312,i_0_298,i_0_315,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305,i_0_402]) ).
cnf(i_0_425,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_402]) ).
cnf(i_0_426,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00)),
inference(scs_inference,[],[i_0_263,i_0_300,i_0_312,i_0_298,i_0_304,i_0_315,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305,i_0_402,i_0_364]) ).
cnf(i_0_427,plain,
aElementOf0(xi,slbdtrb0(szszuzczcdt0(xi))),
inference(scs_inference,[],[i_0_263,i_0_300,i_0_312,i_0_298,i_0_304,i_0_315,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305,i_0_402,i_0_364,i_0_383]) ).
cnf(i_0_428,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(rename_variables,[],[i_0_383]) ).
cnf(i_0_429,plain,
szNzAzT0 != slbdtrb0(sz00),
inference(scs_inference,[],[i_0_263,i_0_300,i_0_312,i_0_298,i_0_304,i_0_315,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305,i_0_402,i_0_364,i_0_383,i_0_359]) ).
cnf(i_0_430,plain,
aElement0(xi),
inference(scs_inference,[],[i_0_263,i_0_300,i_0_312,i_0_313,i_0_298,i_0_304,i_0_315,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305,i_0_402,i_0_364,i_0_383,i_0_359,i_0_279]) ).
cnf(i_0_431,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_279]) ).
cnf(i_0_432,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(scs_inference,[],[i_0_263,i_0_300,i_0_312,i_0_313,i_0_298,i_0_304,i_0_315,i_0_271,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305,i_0_402,i_0_364,i_0_383,i_0_359,i_0_279,i_0_280]) ).
cnf(i_0_433,plain,
( ~ aSet0(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_434,plain,
~ isFinite0(szNzAzT0),
inference(scs_inference,[],[i_0_263,i_0_300,i_0_309,i_0_312,i_0_313,i_0_298,i_0_304,i_0_315,i_0_271,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305,i_0_402,i_0_364,i_0_383,i_0_359,i_0_279,i_0_280,i_0_292]) ).
cnf(i_0_435,plain,
( ~ isCountable0(X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_292]) ).
cnf(i_0_436,plain,
~ isCountable0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_263,i_0_300,i_0_309,i_0_312,i_0_313,i_0_298,i_0_304,i_0_315,i_0_271,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305,i_0_402,i_0_364,i_0_383,i_0_359,i_0_279,i_0_280,i_0_292,i_0_295]) ).
cnf(i_0_437,plain,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_295]) ).
cnf(i_0_438,plain,
aSet0(slbdtsldtrb0(xT,xi)),
inference(scs_inference,[],[i_0_263,i_0_300,i_0_309,i_0_312,i_0_313,i_0_298,i_0_304,i_0_315,i_0_271,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305,i_0_402,i_0_364,i_0_383,i_0_359,i_0_279,i_0_280,i_0_292,i_0_295,i_0_396]) ).
cnf(i_0_439,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| aSet0(slbdtsldtrb0(X2,X1)) ),
inference(rename_variables,[],[i_0_396]) ).
cnf(i_0_440,plain,
aSubsetOf0(slcrc0,xT),
inference(scs_inference,[],[i_0_263,i_0_403,i_0_300,i_0_309,i_0_312,i_0_313,i_0_406,i_0_298,i_0_304,i_0_315,i_0_271,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305,i_0_402,i_0_364,i_0_383,i_0_359,i_0_279,i_0_280,i_0_292,i_0_295,i_0_396,i_0_237]) ).
cnf(i_0_441,plain,
~ aElementOf0(X1,slcrc0),
inference(rename_variables,[],[i_0_403]) ).
cnf(i_0_442,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_443,plain,
$false,
inference(scs_inference,[],[i_0_263,i_0_403,i_0_300,i_0_303,i_0_309,i_0_312,i_0_313,i_0_406,i_0_298,i_0_304,i_0_315,i_0_271,i_0_320,i_0_275,i_0_276,i_0_278,i_0_284,i_0_290,i_0_291,i_0_305,i_0_402,i_0_364,i_0_383,i_0_359,i_0_279,i_0_280,i_0_292,i_0_295,i_0_396,i_0_237,i_0_193]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM582+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n011.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 00:47:17 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.37/1.62 % Version : CSE_E---1.7
% 0.37/1.62 % Problem : theBenchmark.p
% 0.37/1.62 % SZS status Theorem for theBenchmark.p
% 0.37/1.62 % SZS output start CNFRefutation
% See solution above
% 0.47/1.80 % Total time : 1.274s
%------------------------------------------------------------------------------